180072813924 has 18 divisors (see below), whose sum is σ = 455184057510. Its totient is φ = 60024271296.

The previous prime is 180072813911. The next prime is 180072813931. The reversal of 180072813924 is 429318270081.

It is a happy number.

180072813924 is a `hidden beast` number, since 180 + 0 + 7 + 2 + 81 + 392 + 4 = 666.

180072813924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 142521350400 + 37551463524 = 377520^2 + 193782^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 180072813924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2501011269 + ... + 2501011340.

It is an arithmetic number, because the mean of its divisors is an integer number (25288003195).

Almost surely, 2^180072813924 is an apocalyptic number.

It is an amenable number.

180072813924 is an abundant number, since it is smaller than the sum of its proper divisors (275111243586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

180072813924 is a wasteful number, since it uses less digits than its factorization.

180072813924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002022619 (or 5002022614 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 180072813924 in words is "one hundred eighty billion, seventy-two million, eight hundred thirteen thousand, nine hundred twenty-four".